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Finding the Fourth Proportional to 1,175.85, 1,763.41 and 310.05

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Solution

The fourth proportional to 1,175.85, 1,763.41 and 310.05 is: 464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.85 : 1,763.41 = 310.05 : x
  2. Step 2: Convert to fraction form
    1,175.85/1,763.41 = 310.05/x
  3. Step 3: Cross multiply
    1,175.85x = 1,763.41 × 310.05
  4. Step 4: Simplify right side
    1,175.85x = 546,734.90
  5. Step 5: Solve for x
    x = 546,734.90/1,175.85
  6. Step 6: Final answer
    x = 464.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.